Brittle to quasibrittle transition in a compound fiber bundle

The brittle to quasibrittle transition has been studied for a compound of two different kinds of fibrous materials, having distinct difference in their breaking strengths under the framework of the fiber bundle model. A random fiber bundle model has been devised with a bimodal distribution of the br...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Chandreyee Roy, Manna, S S
Format: Article
Language:English
Subjects:
Breaking
Brittleness
Bundling
Ductile-brittle transition
Fracture mechanics
Load sharing
Loads (forces)
Online Access:Get full text
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Summary:The brittle to quasibrittle transition has been studied for a compound of two different kinds of fibrous materials, having distinct difference in their breaking strengths under the framework of the fiber bundle model. A random fiber bundle model has been devised with a bimodal distribution of the breaking strengths of the individual fibers. The bimodal distribution is assumed to be consisting of two symmetrically placed rectangular probability distributions of strengths \(p\) and \(1 - p\), each of width \(d\), and separated by a gap \(2s\). Different properties of the transition have been studied varying these three parameters and using the well known equal load sharing dynamics. Our study exhibits a brittle to quasibrittle transition at the critical width \(d_c(s,p) = p(1/2 - s)/(1 + p)\) confirmed by our numerical results.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.03982